Least Common Multiple of 3/75, 4/50, 87/81, 40/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/75, 4/50, 87/81, 40/753 quickly i.e. 3480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/75, 4/50, 87/81, 40/753 is 3480.

LCM(3/75, 4/50, 87/81, 40/753) = 3480

LCM of 3/75, 4/50, 87/81, 40/753

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3/75,4/50,87/81,40/753

Given numbers are 3/75,4/50,87/81,40/753

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3,4,87,40

Least Common Multiple of Numerators i.e. LCM of 3,4,87,40 is 3480.

GCF of Denominators means GCF of 75,50,81,753 as per the given fractions.

GCF of 75,50,81,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,4,87,40

LCM of Fractions 3/75,4/50,87/81,40/753 is 3480

2 3, 4, 87, 40
2 3, 2, 87, 20
3 3, 1, 87, 10
1, 1, 29, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 29 x 10 = 3480

Least Common Multiple of 3,4,87,40 with GCF Formula

Least Common Multiple of 3,4,87,40 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3,4,87,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,4,87,40) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(3,4,87,40) x common factors =1 x 12 = 12

LCM(3,4,87,40) = ( 3 × 4 × 87 × 40 ) / 12

LCM(3,4,87,40) = 41760 / 12

LCM(3,4,87,40) = 3480


Lets's calculate GCF of 75,50,81,753

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3480/1

Therefore the LCM of Fractions 3/75,4/50,87/81,40/753 is 3480

Greatest Common Factor of 75,50,81,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,50,81,753 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 75,50,81,753 . The biggest common factor number is the GCF number.
So the greatest common factor 75,50,81,753 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3/75, 4/50, 87/81, 40/753

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3/75, 4/50, 87/81, 40/753?

Answer: LCM of Numerators as per given numbers 3/75, 4/50, 87/81, 40/753 is

LCM of Numerators i.e. for 3,4,87,40 is 3480

GCF of denominators i.e. for 75,50,81,753 is 1.

Thus, LCM of Fractions is 3480.Finally, LCM of Fractions for 3/75, 4/50, 87/81, 40/753 is 3480.